Estimates of solutions of impulsive parabolic equations under Neumann boundary condition |
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Authors: | Wenliang Gao Jinghua Wang |
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Institution: | Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, PR China |
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Abstract: | In this paper, we prove the relation v(t)?u(t,x)?w(t), where u(t,x) is the solution of an impulsive parabolic equations under Neumann boundary condition ∂u(t,x)/∂ν=0, and v(t) and w(t) are solutions of two impulsive ordinary equations. We also apply these estimates to investigate the asymptotic behavior of a model in the population dynamics, and it is shown that there exists a unique solution of the model which converges to the periodic solution of an impulsive ordinary equation asymptotically. |
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Keywords: | Neumann boundary condition Asymptotic behavior |
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